What is the Least Common Multiple of 97280 and 97286?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 97280 and 97286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97280 and 97286, than apply into the LCM equation.

GCF(97280,97286) = 2
LCM(97280,97286) = ( 97280 × 97286) / 2
LCM(97280,97286) = 9463982080 / 2
LCM(97280,97286) = 4731991040

Least Common Multiple (LCM) of 97280 and 97286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97280 and 97286. First we will calculate the prime factors of 97280 and 97286.

Prime Factorization of 97280

Prime Factorization of 97286

Now multiplying the highest exponent prime factors to calculate the LCM of 97280 and 97286.

LCM(97280,97286) = 2¹⁰ × 5¹ × 19¹ × 7¹ × 6949¹
LCM(97280,97286) = 4731991040